Due Mar 9, 3:59 AM EDT
A coin tossed 5 times and the result of each tossing is recorded (order matters). How many outcomes we have in the sample space of this random experiment?
This is the number of 5-tuples, each element of a tuple is either head or tail. The number is equal to 25=32
A coin tossed 3 times. How many outcomes belongs to event A: Exactly two heads occurred.
There are three outcomes: {HHT, HTH, THH}.
A coin tossed 3 times. How many outcomes belongs to event B: At least two heads occurred.
There are four outcomes: {HHH, HHT, HTH, THH}
A pair of dices rolled. We associate with this random experiment a sample space for which all outcomes have the same probability. How many outcomes do we have? Enter number.
Every outcome is a tuple (points on the first dice, points on the second dice). Points on each dice is an integer number from 1 to 6. The number of such tuples is 6×6=36.